Capita Private Cloud, launched in September, will offer Microsoft Exchange, Sharepoint and Lync.
Andy Parker, a senior executive at Capita, said that its own offering is popular with companies that want public and private cloud services.
Many Microsoft applications have only been available in public clouds.
Microsoft public service GM Derrick McCourt said the availability of its products in private clouds will appeal to local government, central government and the health sectors.
In time, he said, Micorsoft’s cloud offering will become IL3 compliant – that means additional security.